The order of the automorphism group of a binary $${\varvec{q}}$$q-analog of the Fano plane is at most two
The order of the automorphism group of a binary $${\varvec{q}}$$q-analog of the Fano plane is at most two
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DOI：
10.1007/s10623-017-0360-6
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发表时间：
2016-05
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影响因子：
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通讯作者：
Michael Kiermaier;Sascha Kurz;A. Wassermann
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文献类型：
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作者：
Michael Kiermaier;Sascha Kurz;A. Wassermann
The question if there exists aq-analog of the Fano plane is open since it was first posed in 1972. For a putative binaryq-analog of the Fano plane all automorphisms of order greater than 4 had been excluded previously. Here, it is shown with theoretical and computational methods that the order of the automorphism group of a binaryq-analog of the Fano plane is either trivial or of order 2. Moreover, some groups which had been excluded by computer search in Braun et al. (Eur J Comb 51:443–457, 2016) are ruled out as automorphism group by theoretic arguments.
